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Finding the Fourth Proportional to 5,814.06, 8,027.94 and 3,576.94

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Solution

The fourth proportional to 5,814.06, 8,027.94 and 3,576.94 is: 4,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.06 : 8,027.94 = 3,576.94 : x
  2. Step 2: Convert to fraction form
    5,814.06/8,027.94 = 3,576.94/x
  3. Step 3: Cross multiply
    5,814.06x = 8,027.94 × 3,576.94
  4. Step 4: Simplify right side
    5,814.06x = 28,715,459.70
  5. Step 5: Solve for x
    x = 28,715,459.70/5,814.06
  6. Step 6: Final answer
    x = 4,938.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.